I'm trying to prove that :
100!50!⋅250
is an integer .
For the moment I did the following :
100!50!⋅250=51⋅52⋯99⋅100250
But it still doesn't quite work out .
Hints anyone ?
Thanks
Answer
(2n)!n!2n=2n∏k=1kn∏k=1(2k)=n∏k=1(2k−1)∈Z.
How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...
No comments:
Post a Comment